Abstract (data abstract)

This Letter presents results from a combination of searches for Higgs boson pair production using 126--140 fb$^{-1}$ of proton--proton collision data at $\sqrt{s}=13$ TeV recorded with the ATLAS detector. At 95% confidence level (CL), the upper limit on the production rate is 2.9 times the Standard Model (SM) prediction, with an expected limit of 2.4 assuming no Higgs boson pair production. Constraints on the Higgs boson self-coupling modifier $\kappa_{\lambda}=\lambda_{HHH}/\lambda_{HHH}^\mathrm{SM}$, and the quartic $HHVV$ coupling modifier $\kappa_{2V}=g_{HHVV}/g_{HHVV}^\mathrm{SM}$, are derived individually, fixing the other parameter to its SM value. The observed 95% CL intervals are $-1.2 < \kappa_{\lambda} < 7.2$ and $0.6 < \kappa_{2V} < 1.5$ respectively, while the expected intervals are $-1.6 < \kappa_{\lambda} < 7.2$ and $0.4 < \kappa_{2V} < 1.6$ in the SM case. Constraints obtained for several interaction parameters within Higgs effective field theory are the strongest to date, offering insights into potential deviations from SM predictions.

Table 1

Data from Figure 2, Upper limits on HH signal strength at 95% CL

10.17182/hepdata.153612.v1/t1

Observed and expected 95% CL upper limits on the signal strength for inclusive ggF HH and VBF HH production from...
Table 2

Data from Figure 3a, $\kappa_\lambda$ likelihood scan for $b\bar{b}b\bar{b}$ (expected)

10.17182/hepdata.153612.v1/t2

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}b\bar{b}$.
Table 3

Data from Figure 3a, $\kappa_\lambda$ likelihood scan for $b\bar{b}\tau\tau$ (expected)

10.17182/hepdata.153612.v1/t3

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\tau\tau$.
Table 4

Data from Figure 3a, $\kappa_\lambda$ likelihood scan for $b\bar{b}\gamma\gamma$ (expected)

10.17182/hepdata.153612.v1/t4

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\gamma\gamma$.
Table 5

Data from Figure 3a, $\kappa_\lambda$ likelihood scan for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$ (expected)

10.17182/hepdata.153612.v1/t5

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$.
Table 6

Data from Figure 3a, $\kappa_\lambda$ likelihood scan for Multilepton (expected)

10.17182/hepdata.153612.v1/t6

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for Multilepton.
Table 7

Data from Figure 3a, $\kappa_\lambda$ likelihood scan for combination (expected)

10.17182/hepdata.153612.v1/t7

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for combination.
Table 8

Data from Figure 3b, $\kappa_{2V}$ likelihood scan for $b\bar{b}b\bar{b}$ (expected)

10.17182/hepdata.153612.v1/t8

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}b\bar{b}$.
Table 9

Data from Figure 3b, $\kappa_{2V}$ likelihood scan for $b\bar{b}\tau\tau$ (expected)

10.17182/hepdata.153612.v1/t9

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\tau\tau$.
Table 10

Data from Figure 3b, $\kappa_{2V}$ likelihood scan for $b\bar{b}\gamma\gamma$ (expected)

10.17182/hepdata.153612.v1/t10

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\gamma\gamma$.
Table 11

Data from Figure 3b, $\kappa_{2V}$ likelihood scan for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$ (expected)

10.17182/hepdata.153612.v1/t11

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$.
Table 12

Data from Figure 3b, $\kappa_{2V}$ likelihood scan for Multilepton (expected)

10.17182/hepdata.153612.v1/t12

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for Multilepton.
Table 13

Data from Figure 3b, $\kappa_{2V}$ likelihood scan for combination (expected)

10.17182/hepdata.153612.v1/t13

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for combination.
Table 14

Data from Figure Aux 1a, Upper limits on ggF HH signal strength at 95% CL

10.17182/hepdata.153612.v1/t14

Observed and expected 95% CL upper limits on the signal strength for the inclusive ggF HH production from the bb̄τ+τ-,...
Table 15

Data from Figure Aux 1b, Upper limits on VBF HH signal strength at 95% CL

10.17182/hepdata.153612.v1/t15

Observed and expected 95% CL upper limits on the signal strength for the VBF HH production from the bb̄τ+τ-, bb̄γγ,...
Table 16

Data from Figure Aux 2, Upper limits on HH cross-section at 95% CL

10.17182/hepdata.153612.v1/t16

Observed and expected upper limits at 95% CL on the inclusive ggF and VBF HH production cross-section from the bb̄τ+τ-,...
Table 17

Data from Figure Aux 3a, $\kappa_\lambda$ likelihood scan for $b\bar{b}b\bar{b}$ (observed)

10.17182/hepdata.153612.v1/t17

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}b\bar{b}$.
Table 18

Data from Figure Aux 3a, $\kappa_\lambda$ likelihood scan for $b\bar{b}\tau\tau$ (observed)

10.17182/hepdata.153612.v1/t18

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\tau\tau$.
Table 19

Data from Figure Aux 3a, $\kappa_\lambda$ likelihood scan for $b\bar{b}\gamma\gamma$ (observed)

10.17182/hepdata.153612.v1/t19

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\gamma\gamma$.
Table 20

Data from Figure Aux 3a, $\kappa_\lambda$ likelihood scan for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$ (observed)

10.17182/hepdata.153612.v1/t20

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$.
Table 21

Data from Figure Aux 3a, $\kappa_\lambda$ likelihood scan for Multilepton (observed)

10.17182/hepdata.153612.v1/t21

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for Multilepton.
Table 22

Data from Figure Aux 3a, $\kappa_\lambda$ likelihood scan for combination (observed)

10.17182/hepdata.153612.v1/t22

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for combination.
Table 23

Data from Figure Aux 3b, $\kappa_{2V}$ likelihood scan for $b\bar{b}b\bar{b}$ (observed)

10.17182/hepdata.153612.v1/t23

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}b\bar{b}$.
Table 24

Data from Figure Aux 3b, $\kappa_{2V}$ likelihood scan for $b\bar{b}\tau\tau$ (observed)

10.17182/hepdata.153612.v1/t24

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\tau\tau$.
Table 25

Data from Figure Aux 3b, $\kappa_{2V}$ likelihood scan for $b\bar{b}\gamma\gamma$ (observed)

10.17182/hepdata.153612.v1/t25

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\gamma\gamma$.
Table 26

Data from Figure Aux 3b, $\kappa_{2V}$ likelihood scan for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$ (observed)

10.17182/hepdata.153612.v1/t26

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$.
Table 27

Data from Figure Aux 3b, $\kappa_{2V}$ likelihood scan for Multilepton (observed)

10.17182/hepdata.153612.v1/t27

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for Multilepton.
Table 28

Data from Figure Aux 3b, $\kappa_{2V}$ likelihood scan for combination (observed)

10.17182/hepdata.153612.v1/t28

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for combination.
Table 29

Data from Figure Aux 5a

10.17182/hepdata.153612.v1/t29

Observed (solid lines) and expected (dashed lines) 95% CL exclusion limits on the HH production cross-sections of (a) the inclusive...
Table 30

Data from Figure Aux 5b

10.17182/hepdata.153612.v1/t30

Observed (solid lines) and expected (dashed lines) 95% CL exclusion limits on the HH production cross-sections of the VBF process...
Table 31

Data from Figure Aux 6a, $c_{gghh}$ likelihood scan for $b\bar{b}b\bar{b}$ (observed)

10.17182/hepdata.153612.v1/t31

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}b\bar{b}$.
Table 32

Data from Figure Aux 6a, $c_{gghh}$ likelihood scan for $b\bar{b}\tau\tau$ (observed)

10.17182/hepdata.153612.v1/t32

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}\tau\tau$.
Table 33

Data from Figure Aux 6a, $c_{gghh}$ likelihood scan for $b\bar{b}\gamma\gamma$ (observed)

10.17182/hepdata.153612.v1/t33

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}\gamma\gamma$.
Table 34

Data from Figure Aux 6a, $c_{gghh}$ likelihood scan for combination (observed)

10.17182/hepdata.153612.v1/t34

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for combination.
Table 35

Data from Figure Aux 6b, $c_{gghh}$ likelihood scan for $b\bar{b}b\bar{b}$ (expected)

10.17182/hepdata.153612.v1/t35

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}b\bar{b}$.
Table 36

Data from Figure Aux 6b, $c_{gghh}$ likelihood scan for $b\bar{b}\tau\tau$ (expected)

10.17182/hepdata.153612.v1/t36

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}\tau\tau$.
Table 37

Data from Figure Aux 6b, $c_{gghh}$ likelihood scan for $b\bar{b}\gamma\gamma$ (expected)

10.17182/hepdata.153612.v1/t37

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}\gamma\gamma$.
Table 38

Data from Figure Aux 6b, $c_{gghh}$ likelihood scan for combination (expected)

10.17182/hepdata.153612.v1/t38

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for combination.
Table 39

Data from Figure Aux 7a, $c_{tthh}$ likelihood scan for $b\bar{b}b\bar{b}$ (observed)

10.17182/hepdata.153612.v1/t39

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}b\bar{b}$.
Table 40

Data from Figure Aux 7a, $c_{tthh}$ likelihood scan for $b\bar{b}\tau\tau$ (observed)

10.17182/hepdata.153612.v1/t40

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}\tau\tau$.
Table 41

Data from Figure Aux 7a, $c_{tthh}$ likelihood scan for $b\bar{b}\gamma\gamma$ (observed)

10.17182/hepdata.153612.v1/t41

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}\gamma\gamma$.
Table 42

Data from Figure Aux 7a, $c_{tthh}$ likelihood scan for combination (observed)

10.17182/hepdata.153612.v1/t42

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for combination.
Table 43

Data from Figure Aux 7b, $c_{tthh}$ likelihood scan for $b\bar{b}b\bar{b}$ (expected)

10.17182/hepdata.153612.v1/t43

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}b\bar{b}$.
Table 44

Data from Figure Aux 7b, $c_{tthh}$ likelihood scan for $b\bar{b}\tau\tau$ (expected)

10.17182/hepdata.153612.v1/t44

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}\tau\tau$.
Table 45

Data from Figure Aux 7b, $c_{tthh}$ likelihood scan for $b\bar{b}\gamma\gamma$ (expected)

10.17182/hepdata.153612.v1/t45

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}\gamma\gamma$.
Table 46

Data from Figure Aux 7b, $c_{tthh}$ likelihood scan for combination (expected)

10.17182/hepdata.153612.v1/t46

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for combination.
Table 47

Data from Figure Aux 9, ggF HH cross-section in HEFT shape benchmarks

10.17182/hepdata.153612.v1/t47

Observed and expected 95% CL combined upper limits on the cross-section for the SM and seven BSM HEFT benchmarks (arXiv:2304.01968...

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